Slope Review / Word Problems

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•
Mathematics
•
8th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a linear equation?
Back
The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line descends from left to right.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.
6.
FLASHCARD QUESTION
Front
How can you determine the rate of change from a linear equation?
Back
The rate of change is represented by the slope of the line in the equation, indicating how much y changes for a unit change in x.
7.
FLASHCARD QUESTION
Front
What does the equation 4x - 8y = 16 represent in slope-intercept form?
Back
To convert to slope-intercept form, solve for y: y = (1/2)x - 2.
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